As clarification for where this solder material is (if it changes your views), it's the connections right on the base of the stalk, next to the running lights wires as well. To be honest, since the cover for the switch is right there, I'm leaning towards just scraping the damn stuff off, and taking a straight razor to it to make sure I've gotten it all. No heat involved, and while it'll probably take longer than anything else, it's a more sure method...